Class notes

integration class notes + solved examples (pt1)

5 views 0 purchase

Course
Calculus

Institution
University Of Greenwich

This document contains basic integration rules and methods including trigonometric, hyperbolic and inverse functions, u substitution, integration by parts (tabular method), reduction formula and much more. This document is a summary for the first half of the calculus II course with solved examples ...

[Show more]

Preview 1 out of 1 pages

View example

Uploaded on February 26, 2023
Number of pages 1
Written in 2021/2022
Type Class notes
Professor(s) Ghada
Contains 1-4

indefinite integration
u substitution
tabular method
trig function integration
integration by parts
identities
hyperbolic functions integration
inverse function integration
fundamental theory of calcu

Institution
University of Greenwich
Education Unknown
Course
Calculus

CA$15.81

Added

Add to cart

Add to wishlist

100% satisfaction guarantee
Immediately available after payment
Both online and in PDF
No strings attached

indefinite integration (+C) The fundamental theorem of calculus
1- Constant → Variable
St → Xtc find y'
2- variable raised tothepower KINETIC
gp → X" + C y= f' (E) dt
4
3- e raised to the power of a variable → Se"→qI+c
ax y •= fcacxja.CH]- [fabio
get → Eftc d
differentiation y'= Fca Cx)) aka
of power.
4- one over a variable → f#→ Inxtc find y'
5- integration of a root → fax →fin → *At" y= faint
+, +C Izz dt
frt ax → fix+3¥ → 3*37+0 y' = 24ftp.e/-2yncDco)
6- f foxifcadx → fait'+ C ya 2¥
nti

7- f FEY dx → In (fax))to
Area under the curve
8- U substitution * draw the graphs
[Xsin(x3dx fÑsincu)&#z * determine where the req
area lies.
U=×3 ↳ Ssinadu
du=3Xdx * determine whether to use
⇒ COS (a) to or horizontal strip
¥2=dx ⇒ cosciac
* try to avoid having to div
into two by choosing the a
Trigonometric Functions
1- fsinxdx → -cost y IC * Verticle strip A-(fa
2- fcosxdx→ sin ✗ + c derivative
the ang. * horizontal
l Strip A=f
3- Stan x dx → f-§%#dx → - Incosx → in#→ insectic
4- f secxdx → f secx. sexttanx
seex + tan a☑ →f seex + sextan x ax → In/secattanx/to
CsCx +COEX Secx + tan x
5- fcscxda-f-cscxcscxtcotxdx-sf-CSEX-C.SCXCOM
(sax + Cox → - In/sext Coty +C

6- fseexdx → tanate

7- f CSex dx → -coexto Identities

8- f cot ✗ dx → f cos
sin ✗
x dx → In/sinx/to Sink +0054=1
sink ⇒(1- cos2x)
cost =L a + cosy;]
a-/secxtanx ax → secxie
10-f cot ✗ Cscxdx → -CSCAC Seck-tank ⇒
cosh2- sinkx =,
huperbolic Factions
Sin (a) sin (b) = Ic
1) Isin hxdx → coshXtc
cosca) cos (b) = {
2) f cos hxdx → sinhXtc
Sin (a)Coscb) =#
3) J tan hxdx → f sinhxdx → In/coshx/to
coshx

4) J sech xdx → f ax → fetze → Jefe. → f&¥e. → f 2¥, → 2f¥#d×

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller malakashraftaherawadelhadidi. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$15.81. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

73918 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling